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| WK | LSN | TOPIC | SUB-TOPIC | OBJECTIVES | T/L ACTIVITIES | T/L AIDS | REFERENCE | REMARKS |
|---|---|---|---|---|---|---|---|---|
| 2 | 1 |
Cube and cube roots
|
Cubes
|
By the end of the
lesson, the learner
should be able to:
Find cubes of numbers |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts |
KLB Mathematics
Book Two Pg 1 discovering secondary pg 1 |
|
| 2 | 2 |
Cube and cube roots
|
Use of tables to find cubes
Cube roots using factor method |
By the end of the
lesson, the learner
should be able to:
Use tables to find the cube of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 1-2 discovering secondary pg 2 |
|
| 2 | 3-4 |
Reciprocals
Indices and Logarithms |
Reciprocal of numbers by division
Reciprocal of number from tables Indices Negative indices |
By the end of the
lesson, the learner
should be able to:
Find the reciprocal of number by division State the laws of indices |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 5 discovering secondary pg 7 KLB Mathematics Book Two Pg 7-8 discovering secondary pg 10 |
|
| 2 | 5 |
Indices and Logarithms
|
Fractional indices
Logarithms |
By the end of the
lesson, the learner
should be able to:
Find the fractional indices |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 9-11 discovering secondary pg 12 |
|
| 2 | 6 |
Indices and Logarithms
|
Standard form
Powers of 10 and common logarithms |
By the end of the
lesson, the learner
should be able to:
Write standard form of numbers |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 15 discovering secondary pg 13 |
|
| 3 | 1 |
Indices and Logarithms
|
Logarithms of positive numbers less than 1
Antilogarithms |
By the end of the
lesson, the learner
should be able to:
Find the logarithms of positive numbers less than 1 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 18 discovering secondary pg 15 |
|
| 3 | 2 |
Indices and Logarithms
|
Applications of logarithms
Roots |
By the end of the
lesson, the learner
should be able to:
Use multiplication and division law of indices to find logarithms |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 20-22 discovering secondary pg 18 |
|
| 3 | 3-4 |
Indices and Logarithms
Gradient and equations of straight lines |
Roots
Gradient Gradient Equation of a line Linear equation y=mx+c |
By the end of the
lesson, the learner
should be able to:
Find logarithms of root numbers 2 State the type of gradient |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 25 discovering secondary pg21 KLB Mathematics Book Two Pg 30-32 discovering secondary pg 23 |
|
| 3 | 5 |
Gradient and equations of straight lines
|
The y-intercept
The graph of a straight line |
By the end of the
lesson, the learner
should be able to:
Find the y-intercept |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 36-37 Discovering secondary pg 27 |
|
| 3 | 6 |
Gradient and equations of straight lines
|
Perpendicular lines
Parallel lines |
By the end of the
lesson, the learner
should be able to:
Determine the equation of perpendicular lines |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 41-42 discovering secondary pg 30 |
|
| 4 | 1 |
Reflection and congruence
|
Symmetry
Reflection |
By the end of the
lesson, the learner
should be able to:
Find the lines of symmetry of shapes |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 46-47 Discovering secondary pg 32 |
|
| 4 | 2 |
Reflection and congruence
|
Some general deductions using reflection
|
By the end of the
lesson, the learner
should be able to:
Prove that vertically opposite angles are equal |
Defining
Discussions Solving problem Explaining |
Sets
Books Videos Charts Apparatus |
KLB Mathematics
Book Two Pg 56-57 Discovering secondary pg 34 |
|
| 4 | 3-4 |
Reflection and congruence
|
Congruence
Congruent triangles Congruent triangles The ambiguous case |
By the end of the
lesson, the learner
should be able to:
Determine shapes that are congruent Determine the congruent triangles |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 61-62 Discovering secondary pg 39 KLB Mathematics Book Two Pg 65-66 Discovering secondary pg 40 |
|
| 4 | 5 |
Rotation
|
Introduction
Centre of rotation |
By the end of the
lesson, the learner
should be able to:
Draw an image of an object under rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 71-73 Discovering secondary pg 44 |
|
| 4 | 6 |
Rotation
|
Angle of rotation
Rotation in the Cartesian plane |
By the end of the
lesson, the learner
should be able to:
Determine the angle of rotation |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 74-75 Discovering secondary pg 46 |
|
| 5 | 1 |
Rotation
|
Rotation in the Cartesian plane
Rotational symmetry of plane figures |
By the end of the
lesson, the learner
should be able to:
Rotate objects about the 90 |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 76 Discovering secondary pg 47 |
|
| 5 | 2 |
Rotation
|
Rotational symmetry of solids
Rotation and congruence |
By the end of the
lesson, the learner
should be able to:
Determine the lines of symmetry of solids |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 82-84 Discovering secondary pg 50 |
|
| 5 | 3-4 |
Similarity and enlargement
|
Similar figures
Enlargement Enlarge objects |
By the end of the
lesson, the learner
should be able to:
Calculate lengths of objects Enlarge an object |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 87-88 Discovering secondary pg 52 KLB Mathematics Book Two Pg 97 Discovering secondary pg 57 |
|
| 5 | 5 |
Similarity and enlargement
|
Linear scale factor
|
By the end of the
lesson, the learner
should be able to:
Determine the linear scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 100 Discovering secondary pg 54 |
|
| 5 | 6 |
Similarity and enlargement
|
Negative scale factor
Positive and negative linear scale factor |
By the end of the
lesson, the learner
should be able to:
Find the negative scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts Sets |
KLB Mathematics
Book Two Pg 104 Discovering secondary pg 59 |
|
| 6 | 1 |
Similarity and enlargement
|
Area scale factor
Area of scale factor |
By the end of the
lesson, the learner
should be able to:
Determine the area scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 106-107 Discovering secondary pg 62 |
|
| 6 | 2 |
Similarity and enlargement
|
Volume scale factor
|
By the end of the
lesson, the learner
should be able to:
Determine the volume scale factor |
Defining
Discussions Solving problem Explaining |
Apparatus
Books Videos Charts |
KLB Mathematics
Book Two Pg 109-110 Discovering secondary pg 64 |
|
| 6 | 3-4 |
Similarity and enlargement
Trigonometry |
Area and volume scale factor
Pythagoras Theorem Solutions of problems Using Pythagoras Theorem Application to real life Situation Trigonometry Tangent, sine and cosines |
By the end of the
lesson, the learner
should be able to:
Solve problems on area and volume scale factor Solve problems using Pythagoras Theorem |
Defining
Discussions Solving problem Explaining Solving problems using Pythagoras theorem |
Apparatus
Books Videos Charts Chalkboard Charts Illustrating derived theorem Charts illustrating Pythagoras theorem Mathematical table Charts illustrating tangent, sine and cosine |
KLB Mathematics
Book Two Pg 111-112 Discovering secondary pg 64 KLB BK2 Pg 121 Discovering secondary pg 67 |
|
| 6 | 5 |
Trigonometry
|
Trigonometric Table
Angles and sides of a right angled triangle |
By the end of the
lesson, the learner
should be able to:
Use trigonometric tables to find the sine, cosine and tangent |
Reading trigonometric tables of sines, cosines and tangent
|
Mathematical table
Mathematical table Charts Chalkboard |
KLB BK2 Pg 127, 138, 139 Discovering secondary pg 71
|
|
| 6 | 6 |
Trigonometry
|
Establishing Relationship of sine and cosine of complimentary angles
Sines and cosines of Complimentary angles |
By the end of the
lesson, the learner
should be able to:
Establish the relationship of sine and cosine of complimentary angles |
Using established relationship to solve problems
|
Chalkboards
Chalkboard Charts illustrating the relationship of sines and cosines of complimentary angles |
KLB BK2 Pg 145
|
|
| 7 |
Midterm exmas |
|||||||
| 8 | 1 |
Trigonometry
|
Relationship between tangent, sine and cosine
Trigonometric ratios of special angles 30, 45, 60 and 90 |
By the end of the
lesson, the learner
should be able to:
Relate the three trigonometric ratios, the sine, cosine and tangent |
Relating the three trigonometric ratios
|
Charts showing the three related trigonometric ratio
Charts showing isosceles right angled triangle Charts illustrating Equilateral triangle |
KLB BK2 Pg 145
|
|
| 8 | 2 |
Trigonometry
|
Application of Trigonometric ratios in solving problems
Logarithms of Sines |
By the end of the
lesson, the learner
should be able to:
Solve trigonometric problems without using tables |
Solving trigonometric problems of special angles
|
Chalkboard
Chalkboard Mathematical tables |
KLB BK2 Pg 148
|
|
| 8 | 3-4 |
Trigonometry
|
Logarithms of cosines And tangents
Reading tables of logarithms of sines, cosines and tangents Application of trigonometry to real life situations Area of a triangle Area of a triangle given the base and height (A = ? bh) |
By the end of the
lesson, the learner
should be able to:
Read the logarithm of cosines and tangents from mathematical tables Solve problems in real life using trigonometry |
Reading logarithms of cosine and tangent from mathematical table
Solving problems using trigonometry in real life |
Chalkboard Mathematical table
Mathematical table Chart illustrating worked problem Chalkboard |
KLB BK2 Pg 150-152
KLB BK2 Pg 153-154 |
|
| 8 | 5 |
Trigonometry
|
Area of a triangle using the formula (A = ? absin?)
Area of a triangle using the formula A = ?s(s-a)(s-b)(s-c) |
By the end of the
lesson, the learner
should be able to:
- Derive the formula ? absinc - Using the formula derived in calculating the area of a triangle given two sides and an included angle |
Deriving the formula ? absinc Using the formula to calculate the area of a triangle given two sides and an included angle
|
Charts illustrating a triangle with two sides and an included angle Charts showing derived formula
Charts illustrating a triangle with three sides Charts illustrating a worked example i.e. mathematical table |
KLB BK2 Pg 156
|
|
| 8 | 6 |
Trigonometry
|
Area of Quadrilateral and Polygons Area of a square, rectangle, rhombus, parallelogram and trapezium
Area of a kite |
By the end of the
lesson, the learner
should be able to:
Calculate the are of a triangle, square, rectangle, rhombus, parallelogram and trapezium |
Calculating the area of a triangle, square, rectangle, rhombus, parallelogram and trapezium
|
Charts illustrating formula used in calculating the areas of the quadrilateral
Model of a kite |
KLB BK2 Pg 161-163
|
|
| 9 |
Midterm |
|||||||
| 10 | 1 |
Trigonometry
|
Area of other polygons (regular polygon) e.g. Pentagon
Area of irregular Polygon Area of part of a circle Area of a sector (minor sector and a major sector) |
By the end of the
lesson, the learner
should be able to:
Find the area of a regular polygon |
Calculating the area of a regular polygon
|
Mathematical table Charts illustrating Polygons
Charts illustrating various irregular polygons Polygonal shapes Charts illustrating sectors |
KLB BK2 Pg 164
|
|
| 10 | 2 |
Trigonometry
|
Defining a segment of a circle Finding the area of a segment of a circle
Area of a common region between two circles given the angles and the radii |
By the end of the
lesson, the learner
should be able to:
- Define what a segment of a circle is - Find the area of a segment of a circle |
Finding the area of a segment by first finding the area of a sector less the area of a smaller sector given R and r and angle ?
|
Chart illustrating a Segment
Charts illustrating common region between the circles Use of a mathematical table during calculation |
KLB BK2 Pg 169-170
|
|
| 10 | 3-4 |
Trigonometry
|
Area of a common region between two circles given only the radii of the two circles and a common chord
Surface area of solids Surface area of prisms Cylinder (ii) Triangular prism (iii) Hexagonal prism Area of a square based Pyramid Surface area of a Rectangular based Pyramid |
By the end of the
lesson, the learner
should be able to:
Calculate the area of common region between two circle given the radii of the two intersecting circles and the length of a common chord of the two circles Find the total surface area of a square based pyramid |
Finding the area of a common region between two intersecting
Finding the surface area of a square based pyramid |
Charts illustrating common region between two intersecting circles
Models of cylinder, triangular and hexagonal prisms Models of a square based pyramid Models of a Rectangular based pyramid |
KLB BK 2 Pg 176
KLB BK 2 Pg 178 |
|
| 10 | 5 |
Trigonometry
|
Surface area of a cone using the formula A = ?r2 + ?rl
Surface area of a frustrum of a cone and a pyramid |
By the end of the
lesson, the learner
should be able to:
Find the total surface area of the cone by first finding the area of the circular base and then the area of the curved surface |
Finding the area of the circular part Finding the area of the curved part Getting the total surface Area
|
Models of a cone
Models of frustrum of a cone and a pyramid |
KLB BK 2 Pg 181
|
|
| 10 | 6 |
Trigonometry
|
Finding the surface area of a sphere
Surface area of a Hemispheres |
By the end of the
lesson, the learner
should be able to:
Find the surface area of a sphere given the radius of a sphere |
Finding the surface area of a sphere
|
Models of a sphere Charts illustrating formula for finding the surface area of a sphere
Models of a hemisphere |
KLB BK 2 Pg 183
|
|
| 11 | 1 |
Trigonometry
|
Volume of Solids Volume of prism (triangular based prism)
Volume of prism (hexagonal based prism) given the sides and angle |
By the end of the
lesson, the learner
should be able to:
Find the volume of a triangular based prism |
Finding the volume of a triangular based prism
|
Models of a triangular based prism
Models of hexagonal based prism |
KLB BK 2 Pg 186
|
|
| 11 | 2 |
Trigonometry
|
Volume of a pyramid (square based and rectangular based)
Volume of a cone |
By the end of the
lesson, the learner
should be able to:
Find the volume of a square based pyramid and rectangular based pyramid |
Finding the surface area of the base Applying the formula V=?x base area x height to get the volume of the pyramids (square and rectangular based)
|
Models of square and Rectangular based Pyramids
Model of a cone |
KLB BK 2 Pg 189-190
|
|
| 11 | 3-4 |
Trigonometry
|
Volume of a frustrum of a cone
Volume of a frustrum of a pyramid Volume of a sphere (v = 4/3?r3) Volume of a Hemisphere {(v = ? (4/3?r3)} Application of area of triangles to real life |
By the end of the
lesson, the learner
should be able to:
Find the volume of a frustrum of a cone Find the volume of sphere given the radius of the sphere |
Finding the volume of a full cone before its cutoff Finding the volume of a cut cone then subtracting
Finding the volume of a Sphere |
Models of a frustrum of a cone
Models of frustrum of a pyramid Model of a sphere Mathematical table Models of hemisphere Mathematical table Chart illustrating formula used |
KLB BK 2 Pg 192
KLB BK 2 Pg 195 |
|
| 11 | 5 |
Trigonometric Ratios
|
Tangent of an angle
|
By the end of the
lesson, the learner
should be able to:
name the sides of a right-angled triangle as opposite, adjacent and hypotenuse. Find the tangent of an angle by calculation |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 11 | 6 |
Trigonometric Ratios
|
Using tangents in calculations
Application of tangents |
By the end of the
lesson, the learner
should be able to:
calculate the size of an angle given two sides and an angle from tables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 12 | 1 |
Trigonometric Ratios
|
The sine of an angle
The cosine of an angle |
By the end of the
lesson, the learner
should be able to:
find the sine of an angle by calculations and through tables |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 12 | 2 |
Trigonometric Ratios
|
Application of sine and cosine
Complementary angles |
By the end of the
lesson, the learner
should be able to:
apply sines to work out lengths and angles. Apply cosine to work out length and angles |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 12 | 3-4 |
Trigonometric Ratios
|
Special angles
Application of Special angles Logarithms of sines, cosines and tangents Relationship between sin, cos and tan |
By the end of the
lesson, the learner
should be able to:
find the sine, cos, and tan of 300,600,450,00,900, without using tables solve problems using logarithms of sines cosines and tangents |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 12 | 5 |
Trigonometric Ratios
|
Application to real life situation
Problem solving |
By the end of the
lesson, the learner
should be able to:
apply the knowledge of trigonometry to real life situations |
Measuring lengths/angles
Dividing numbers Drawing right angles Reading mathematical tables |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 119-122
|
|
| 12 | 6 |
Area of A Triangle
|
Area =
Solve problems involving = A =?s(s-a) (s-b) (s-c) Problem solving |
By the end of the
lesson, the learner
should be able to:
derive the formula Area = |
Discussions
Drawing triangles Measuring lengths/angles Calculating area |
Protractor
Ruler Right corners Mathematical tables |
KLB Maths Bk2 Pg. 155-157
|
|
| 13 |
End term exams |
|||||||
| 14 |
Closing of school |
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